Browsing by Author "Ahmed, B.M."

Now showing 1 - 2 of 2
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    A Graph-Theoretic Method for the Basic Reproduction Number in Age-Structured Hepatitis B Model
    (2019) Dotia, A. K.; Ibrahim, M. O.; Ejieji, C.N.; Bello, K. A.; Ahmed, B.M.; Ajanaku, B.K; Kazeem, A. B.; Lawan, A. O.
    In this paper, we present an Age-Structured hepatitis B model. This epidemic model is investigated for different classes of infectious diseases that can be transmitted through an effective contact with infective individuals, who are contagious. The Graph-Theoretic Method for the Basic Reproduction Number was obtained. In addition, the numerical simulation is used to virtually verify the model predictions. The result suggest that the endemic nature of the model is approaching equilibrium with increase immunization program and other control measures put in place.
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    OPTIMAL CONTROL ON HEPATITIS B VIRUS MODEL WITH NON-MONOTONIC INCIDENCE FUNCTION
    (2019) Dotia, A. K.; Ibrahim, M. O.; Ejieji, C.N.; Bello, K. A.; Ahmed, B.M.; Ajanaku, B.; Kazeem, A. B.; Lawan, A. O.
    In this paper, a time- dependent model of prophylactic vaccination HBV is considered. This epidemic model is being investigated for various infectious disease classes, counsel and uncounsel. Mathematical analyzes are performed to determine the positivity and we applied an optimal control strategies in the form of vaccination to minimize or eradicate transmission from mother to child. The study concluded that prophylactic vaccination is not an efficient way to curb the epidemic.